87762080 has 96 divisors (see below), whose sum is σ = 239210496. Its totient is φ = 29804544.

The previous prime is 87762079. The next prime is 87762107. The reversal of 87762080 is 8026778.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141932 + ... + 142548.

It is an arithmetic number, because the mean of its divisors is an integer number (2491776).

Almost surely, 2^87762080 is an apocalyptic number.

87762080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87762080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119605248).

87762080 is an abundant number, since it is smaller than the sum of its proper divisors (151448416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87762080 is a wasteful number, since it uses less digits than its factorization.

87762080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 87762080 is about 9368.1417581076. The cubic root of 87762080 is about 444.3948007514.

The spelling of 87762080 in words is "eighty-seven million, seven hundred sixty-two thousand, eighty".